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Find x ,\ y ,\ a and b if [(2x-3y ,a-b...

Find `x ,\ y ,\ a` and `b` if `[(2x-3y ,a-b,3),(1,x+4y,3a+4b)]=[(1,-2, 3),( 1, 6 ,29)]`

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To solve the problem, we need to equate the corresponding elements of the two matrices given: \[ \begin{pmatrix} 2x - 3y & a - b & 3 \\ 1 & x + 4y & 3a + 4b \end{pmatrix} = ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. Construct a 4xx3 matrix A=[a(i j)] whose elements a(i j) are given ...

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  2. Find x,y,a and b if [[3x+4y,2,x-2y],[a+b,2a-b,-1]]=[[2,2,4],[5,-5,-1]]

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  3. Find x ,\ y ,\ a and b if [(2x-3y ,a-b,3),(1,x+4y,3a+4b)]=[(1,-2, 3)...

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  4. Find the values of a ,\ b ,\ c and d from the following equations...

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  5. Find x ,\ y and z so that A=B , where A=[x-2 3 2z 18 z y+2 6z] , B=[y ...

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  6. If [(x,3x-y),(2x+z,3y-omega)]=[(3 ,2 ),(4 ,7)] , find x ,\ y ,\ z ,\ ...

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  7. If [(x-y ,z),(2x-y,omega)]=[(-1 ,4),( 0 ,5)] , find x ,\ y ,\ z ,\ om...

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  8. If [(x+3,z+4 ,2y-7 ),(4x+6,a-1, 0),(b-3 ,3b, z+2c)]=[(0, 6 ,3y-2 ),(2x...

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  9. If [2x+1 5x0y^2+1]=[x+3 10 0 26] , find the value of (x+y) .

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  10. If [x y4z+6x+y]=[8w0 6] , then find the values of x ,\ y ,\ z\ a n ...

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  11. Give an example of (i) a row matrix which is also a column matrix

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  12. The sales figure of two car dealers during January 2013 showed that...

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  13. For what values of x and y are the following matrices equal? A=[2x+...

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  14. Find the values of x\ a n d\ y if [(x+10 ,y^2+2y),(0,-4)]=[(3x+4,3),...

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  15. Find the values of a\ a n d\ b if A=B , where A=[a+4 3b8-6] , B=[2a+2b...

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  16. If A=[2 3 4 0 4 6 5 8 9] and B=[3 0 5 5 3 2 0 4 7] , find 3A-2B .

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  17. If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B ...

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  18. A=[(2,-1),(3,1)] and B=[(1,4),(7,2)] , find 3A-2Bdot

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  19. If A=[(1,0,0),(0,-1,0),(0,0,2)] and B=[(2,0,0),(0, 3,0),(0,0,-1)] , ...

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  20. Simplify: costheta[costhetasintheta-sinthetacostheta]+sintheta[sinthet...

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